Solve V=1/3pir^2h

$$V = \frac { 1 } { 3 } \pi r ^ { 2 } h$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=\frac{3V}{\pi r^{2}}\text{, }&r\neq 0\\h\in \mathrm{C}\text{, }&V=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{3}\pi r^{2}h=V$$

The equation is in standard form.

$$\frac{\pi r^{2}}{3}h=V$$

Divide both sides by \frac{1}{3}\pi r^{2}.

$$\frac{3\times \frac{\pi r^{2}}{3}h}{\pi r^{2}}=\frac{3V}{\pi r^{2}}$$

Dividing by \frac{1}{3}\pi r^{2} undoes the multiplication by \frac{1}{3}\pi r^{2}.

$$h=\frac{3V}{\pi r^{2}}$$

Solve for h

$$\left\{\begin{matrix}h=\frac{3V}{\pi r^{2}}\text{, }&r\neq 0\\h\in \mathrm{R}\text{, }&V=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{3}\pi r^{2}h=V$$

The equation is in standard form.

$$\frac{\pi r^{2}}{3}h=V$$

Divide both sides by \frac{1}{3}\pi r^{2}.

$$\frac{3\times \frac{\pi r^{2}}{3}h}{\pi r^{2}}=\frac{3V}{\pi r^{2}}$$

Dividing by \frac{1}{3}\pi r^{2} undoes the multiplication by \frac{1}{3}\pi r^{2}.

$$h=\frac{3V}{\pi r^{2}}$$

Solve for V

$$V=\frac{\pi hr^{2}}{3}$$